During his tennis career in singles play, John won 3 fewer tournament A titles than tournament B titles, and 2 more tournament C titles than tournament B titles. If he won 17 of these titles total, how many times did he win each one? How many A titles
How many B titles
How many C titles

Answers

Answer 1

Answer: A = B - 3
C = B + 2
B = B

(B-3) + (B+ 2) + B = 17
3B - 1 = 17
B = (17+1)/3 =6
A = B-3 =6-3=3
C=B +2=6+2=8

Answer :
3 A titles
6 B titles
8 C titles

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Which concept is used to prove that the opposite sides of a parallelogram are congruent? congruent rectangles similar rectangles congruent triangles similar triangles

Answers

The correct answer is:

Congruent triangles.

Explanation:

Consider the top and bottom sides of the parallelogram parallel lines. The diagonal of the parallelogram would be the transversal.

The diagonal splits each opposite angle into two pieces. Using the diagonal as a transversal means we have two pairs of alternate interior angles; this means each pair is congruent. This gives us two congruent angles in two triangles.

The diagonal of the parallelogram is congruent to itself. This gives us two angles and the side between them; this is the angle-side-angle, or ASA, congruence theorem. This proves that the two triangles are congruent.

Since the two triangles are congruent, the corresponding parts of each triangle would be congruent; this means the opposite sides of the parallelogram are congruent.

I think it's congruent triangles

Determine if the system has one solution, infinitely many solutions, or no solution. x=-7y+34 x+7y=32

Answers

Answer:

NO Solution

Step-by-step explanation:

First, from the first equation let's move the Y term to the other side to match with the second equation.

$x=-7y+34\n\nx(+7y)=-7y+34 (+7y)\n\nx+7y=34$

Now lets compare the two equations.

$x+7y=34\nx+7y=32$

Since the left sides are the same but the right sides of the equations aren't, we can see there are no solutions to this system.

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A set of equations is given below:Equation E: a = 5b + 1
Equation F: a = 3b + 4

Which statement describes a step that can be used to find the solution to the set of equations?

Equation F can be written as 5b + 1 = 3b + 4.
Equation F can be written as b + 1 = 3b + 4.
Equation F can be written as a = 3(a − 1) + 4.
Equation F can be written as a = 5(a − 4) + 1.

Answers

Answer:

Equation F can be written as 5b + 1 = 3b + 4

Step-by-step explanation:

A set of equations is given below:

Equation E: a = 5b + 1

Equation F: a = 3b + 4

In substitution method we solve the equation for a variable and substitute it in other equation

Given a= 5b +1

Also equation F : a= 3b+4

both equation have 'a' on the left hand side

So we substitute 5b+1 for 'a' in second equation

Substitute 5b+1 in the place of 'a' in Equation F

Equation F can be written as 5b + 1 = 3b + 4

the answer is A because they are equal to eachother

Which answer is the solution set in simplest form 6x-1/5=3/1

Answers

6x - 1/5 = 3

Do the inverse operation.

6x - 1/5 = 3
+1/5 +1/5

6x = 3 1/5

6x/6 = 3 1/5 /6

KCF:- Keep the first fraction, change the sign, flip the second fraction.

3 1/5 divided by 6/1

3*5 +1 = 15+1 =16

16/5 * 1/6

16*1 = 16
5*6 = 30

16/30 = 16/2 and 30/2
8/15

Final answer: x = 8/15

$6x - (1)/(5) = (3)/(1) \n \n 6x - (1)/(5) = 3 \n \n 6x = 3 + (1)/(5) \n \n 6x = (16)/(5) \n \n x = (16)/(5 * 6) \n \n x = (16)/(30) \n \n x = (8)/(15) \n \n Answer: \fbox {x = 8/15} \ or \ \fbox {x = 0.5333}$

A gym charges $35 per month after an initial membership fee. A member has paid a total of $250 after 6 months. Write an equation that gives the total cost of a gym membership as a function of length of membership (in months). Find the total cost of membership after 10 months.

Answers

The required equation is, y = 40 + 35 x, and the cost for 10 months will be 390.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Total charges of gym = Initial service fee + $ 35 per month

Thus, the total charges for 6 months = Initial service fee + 35 × 6 = Initial service fee + 210

According to the question,

Initial service fee + 210 = 250

⇒ Initial service fee = 250 - 210 = $ 40

Hence, the total charges for the gym for x months = 40 + 35x. Here, y represents the total charges for x months,

⇒ y = 40 + 35 x

The total cost of the membership after 10 months will be calculated as:-

y = 40 + 35 x

y = 40 + 35 x 10

y = 390

Therefore, the required equation is, y = 40 + 35 x, and the cost for 10 months will be 390.

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18A person typically breathes about 8.64 x 10^3 liters of air per day. The life expectancy of
a person in the United States at birth is about 29,200 days. Estimate the total amount of
air a person born in the United States breathes over a lifetime.

Answers

Answer:

2.53×10^8 liters

Step-by-step explanation:

(8.65×10^3 L/da)(0.292×10^5 da) ≈ 2.53×10^8 L

Final answer:

The total amount of air a person born in the United States breathes over a lifetime is estimated to be 2.52 x 10^8 liters. This is calculated by multiplying the daily air intake (8.64 x 10^3 liters) with the average life expectancy in days (29,200 days).

Explanation:

To estimate the total amount of air a person born in the United States breathes over a lifetime, we can simply multiply the amount of air breathed daily by the expected length of life in days. Here's how it works: